# Departmental PhD Thesis Exam

Event Information Multiplication of generalized affine Grassmannian slices and comultiplication of shifted Yangians
14:00 on Monday July 13, 2020
15:00 on Monday July 13, 2020
See Abstract
Khoa Thanh Pham
Given a semisimple algebraic group $G$, shifted Yangians are quantizations of certain generalized slices in $G((t^{-1}))$. In this thesis, we work with these generalized slices and the shifted Yangians in the simply-laced case.
Finally, we conjecture that the above relationship lifts to the Yangian level. We prove this conjecture for sufficiently dominantly shifted Yangians, and for the $\mathfrak{sl}_2$-case.